Question

Find the p -value for the hypothesis test. A random sample of size 53 is taken. The sample has a mean of 424 and a standard deviation of 83.

H 0 : µ = 400

H a : µ ≠ 400

The p -value for the hypothesis test is

Answer 1

Solution :

Given that,

H₀ :   = 400

H_a : 400

= 400

= 424

s = 83

n = 53

The test statistic t is,

t = ( -  ) /  (s /   n)

t =( 424 - 400) / (83 / 53 )

t = ( 24 *  53 / 83 )

t = ( 24 *53 ) / 83

t = 2.10

Test  statistic   = 2.10

p value = 0.0401

Two tailed test